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Finding the Fourth Proportional to 261,533.60, 392,761.20 and 202,512.80

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Solution

The fourth proportional to 261,533.60, 392,761.20 and 202,512.80 is: 304,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,533.60 : 392,761.20 = 202,512.80 : x
  2. Step 2: Convert to fraction form
    261,533.60/392,761.20 = 202,512.80/x
  3. Step 3: Cross multiply
    261,533.60x = 392,761.20 × 202,512.80
  4. Step 4: Simplify right side
    261,533.60x = 79,539,170,343.36
  5. Step 5: Solve for x
    x = 79,539,170,343.36/261,533.60
  6. Step 6: Final answer
    x = 304,126.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.